# Topic Test Data

```TOPIC TEST ON DATA REPRESENTATION
1) The following grouped frequency table show the score received by 275 students who sat a statistics
examination.
Score
0–9
10 – 19 20 – 29 30 – 34 35 – 39 40 – 49 50 – 59
Frequency
6
21
51
36
48
82
31
Represent the data in a histogram [6]
2) A school entered 88 students for an examination. The results of the examination are shown in the
table below.
Marks 0&lt;x≤10 10&lt;x≤20 20&lt;x≤30 30&lt;x≤40 40&lt;x≤50 50&lt;x≤60 60&lt;x≤70 70&lt;x≤80 80&lt;x≤90
Freq
3
6
9
10
12
18
14
11
5
(a) Calculate the mean. [2]
(b) Using 2cm to represent 10 marks on the x-axis &amp; 2cm to represent 10 students on the y-axis,
construct the cumulative frequency curve and estimate the median &amp; interquartile range. [5]
Estimate from your graph the number of students who obtained ≥ 75 marks. [2]
TOPIC TEST ON DATA REPRESENTATION
1) The following grouped frequency table show the score received by 275 students who sat a statistics
examination.
Score
Frequency
0–9
6
10 – 19 20 – 29 30 – 34 35 – 39 40 – 49
21
51
36
48
82
Represent the data in a histogram [6]
50 – 59
31
2) A school entered 88 students for an examination. The results of the examination are shown in the
table below.
Marks 0&lt;x≤10 10&lt;x≤20 20&lt;x≤30 30&lt;x≤40 40&lt;x≤50 50&lt;x≤60 60&lt;x≤70 70&lt;x≤80 80&lt;x≤90
Freq
3
6
9
10
12
18
14
11
5
(a) Calculate the mean. [2]
(b) Using 2cm to represent 10 marks on the x-axis &amp; 2cm to represent 10 students on the y-axis,
construct the cumulative frequency curve and estimate the median &amp; interquartile range. [5]
Estimate from your graph the number of students who obtained ≥ 75 marks. [2]
TOPIC TEST ON DATA REPRESENTATION
1) The following grouped frequency table show the score received by 275 students who sat a statistics
examination.
Score
0–9
10 – 19 20 – 29 30 – 34 35 – 39 40 – 49 50 – 59
Frequency
6
21
51
36
48
82
31
Represent the data in a histogram [6]
2) A school entered 88 students for an examination. The results of the examination are shown in the
table below.
Marks 0&lt;x≤10 10&lt;x≤20 20&lt;x≤30 30&lt;x≤40 40&lt;x≤50 50&lt;x≤60 60&lt;x≤70 70&lt;x≤80 80&lt;x≤90
Freq
3
6
9
10
12
18
14
11
5
(a) Calculate the mean. [2]
(b) Using 2cm to represent 10 marks on the x-axis &amp; 2cm to represent 10 students on the y-axis,
construct the cumulative frequency curve and estimate the median &amp; interquartile range. [5]
Estimate from your graph the number of students who obtained ≥ 75 marks. [2]